physics help 1

Question

1.1. three capacitors of 2 microfarads, 4 microfarads and 6 microfarads respectively are connected in series a 100 volt supply. Calculate: a. the total capacitance b. the pd across each capacitor.

Answer 1

Step 1:

The three capacitors are connected in series with a supply.

(a)

Find the total capacitance.

Consider be the total capacitance.

are in series.

So

Therefore the total capacitance is .

Step 2:

(b)

Find the potential difference across each capacitance.

Now find the total charge .

.

Substitute and in the total charge.

The total charge is .

Find the voltage across the capacitance .

Find the voltage across the capacitance .

Find the voltage across the capacitance .

The voltage across the capacitors are .

Solution :

(a) The total capacitance is .

(b) The voltage across the capacitors are .